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Finding the Fourth Proportional to 458,273.92, 632,447.04 and 257,082.88

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Solution

The fourth proportional to 458,273.92, 632,447.04 and 257,082.88 is: 354,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,273.92 : 632,447.04 = 257,082.88 : x
  2. Step 2: Convert to fraction form
    458,273.92/632,447.04 = 257,082.88/x
  3. Step 3: Cross multiply
    458,273.92x = 632,447.04 × 257,082.88
  4. Step 4: Simplify right side
    458,273.92x = 162,591,306,490.68
  5. Step 5: Solve for x
    x = 162,591,306,490.68/458,273.92
  6. Step 6: Final answer
    x = 354,790.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.